Adjacent Right Angles: Analyzing the Possibility of 90° Neighbors

Question

It is possible for two adjacent angles to be right angles.

Video Solution

Solution Steps

00:00 Can adjacent angles both be right angles?
00:03 Let's draw adjacent angles
00:07 Adjacent angles sum to 180° (straight angle)
00:11 Therefore, if one is right (90°), the other must also be right
00:15 To complete the straight angle (90°)
00:18 And this is the solution to the question

Step-by-Step Solution

To determine if it is possible for two adjacent angles to be right angles, we start by considering the definition of adjacent angles. Adjacent angles share a common side and a common vertex. We must think about this scenario in terms of the angles lying on a straight line or a flat plane.

A right angle is exactly 9090^\circ. Hence, if we have two right angles that are adjacent, their measures would be:

  • First angle: 9090^\circ
  • Second angle: 9090^\circ

When these two angles are adjacent, as defined in the problem, their sum is:

90+90=180 90^\circ + 90^\circ = 180^\circ

Angles that are adjacent along a straight line add up exactly to 180180^\circ. Therefore, it is indeed possible for two adjacent angles to be both 9090^\circ. This configuration simply means that these two angles lie along a straight line, dividing it into two right angles.

Hence, the statement is True.

Answer

True